5138313523200
5,138,313,523,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 5138313523200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1872 divisors.
5138313523200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, eight hundred seventy-two divisors.
Prime factorization of 5138313523200:
212 × 32 × 52 × 11 × 13 × 127 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 13 × 127 × 307)See below for interesting mathematical facts about the number 5138313523200 from the Numbermatics database.
Names of 5138313523200
- Cardinal: 5138313523200 can be written as Five trillion, one hundred thirty-eight billion, three hundred thirteen million, five hundred twenty-three thousand, two hundred.
Scientific notation
- Scientific notation: 5.1383135232 × 1012
Factors of 5138313523200
Divisors of 5138313523200
- Number of divisors d(n): 1872
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 30 32 33 36 39 40 44 45 48 50 52 55 60 64 65 66 72 75 78 80 88 90 96 99 100 104 110 117 120 127 128 130 132 143 144 150 156 160 165 176 180 192 195 198 200 208 220 225 234 240 254 256 260 264 275 286 288 300 307 312 320 325 330 352 360 381 384 390 396 400 416 429 440 450 468 480 495 508 512 520 528 550 572 576 585 600 614 624 635 640 650 660 704 715 720 762 768 780 792 800 825 832 858 880 900 921 936 960 975 990 1016 1024 1040 1056 1100 1143 1144 1152 1170 1200 1228 1248 1270 1280 1287 1300 1320 1397 1408 1430 1440 1524 1535 1536 1560 1584 1600 1650 1651 1664 1716 1760 1800 1842 1872 1905 1920 1950 1980 2032 2048 2080 2112 2145 2200 2286 2288 2304 2340 2400 2456 2475 2496 2540 2560 2574 2600 2640 2763 2794 2816 2860 2880 2925 3048 3070 3072 3120 3168 3175 3200 3300 3302 3328 3377 3432 3520 3575 3600 3684 3744 3810 3840 3900 3960 3991 4064 4096 4160 4191 4224 4290 4400 4572 4576 4605 4608 4680 4800 4912 4950 4953 4992 5080 5120 5148 5200 5280 5526 5588 5632 5715 5720 5760 5850 6096 6140 6144 6240 6336 6350 6400 6435 6600 6604 6656 6754 6864 6985 7040 7150 7200 7368 7488 7620 7675 7680 7800 7920 7982 8128 8255 8320 8382 8448 8580 8800 9144 9152 9210 9216 9360 9525 9600 9824 9900 9906 9984 10131 10160 10240 10296 10400 10560 10725 11052 11176 11264 11430 11440 11520 11700 11973 12192 12280 12288 12480 12573 12672 12700 12800 12870 13200 13208 13312 13508 13728 13815 13970 14080 14300 14400 14736 14859 14976 15240 15350 15360 15600 15840 15964 16256 16510 16640 16764 16885 16896 17160 17600 18161 18288 18304 18420 18432 18720 19050 19200 19648 19800 19812 19955 19968 20262 20320 20480 20592 20800 20955 21120 21450 22104 22352 22528 22860 22880 23025 23040 23400 23946 24384 24560 24765 24960 25146 25344 25400 25600 25740 26400 26416 26624 27016 27456 27630 27940 28160 28575 28600 28800 29472 29718 29952 30393 30480 30700 30720 31200 31680 31928 32175 32512 33020 33280 33528 33770 33792 34320 34925 35200 35919 36322 36576 36608 36840 36864 37440 38100 38400 38989 39296 39600 39624 39910 39936 40524 40640 41184 41275 41600 41910 42240 42900 43901 44208 44704 45056 45720 45760 46050 46080 46800 47892 48768 49120 49530 49920 50292 50655 50688 50800 51200 51480 52800 52832 53248 54032 54483 54912 55260 55880 56320 57150 57200 57600 58944 59436 59865 59904 60786 60960 61400 61440 62400 62865 63360 63856 64350 65024 66040 66560 67056 67540 67584 68640 69075 69850 70400 71838 72644 73152 73216 73680 74295 74880 76200 76800 77978 78592 79200 79248 79820 79872 81048 81280 82368 82550 83200 83820 84425 84480 85800 87802 88416 89408 90805 91440 91520 92100 92160 93600 95784 97536 98240 99060 99775 99840 100584 101310 101376 101600 102400 102960 104775 105600 105664 108064 108966 109824 110520 111760 112640 114300 114400 115200 116967 117888 118872 119730 119808 121572 121920 122800 123825 124800 125730 126720 127712 128700 130048 131703 132080 133120 134112 135080 135168 137280 138150 139700 140800 143676 145288 146304 146432 147360 148590 149760 151965 152400 153600 155956 157184 158400 158496 159640 159744 162096 162560 163449 164736 165100 166400 167640 168850 168960 171600 175604 176832 178816 179595 181610 182880 183040 184200 184320 187200 191568 194945 195072 196480 198120 199550 199680 201168 202620 202752 203200 205920 209550 211200 211328 216128 217932 219505 219648 221040 223520 225280 228600 228800 230400 233934 235776 237744 239460 239616 243144 243840 245600 247650 249600 251460 253275 253440 255424 257400 260096 263406 264160 266240 268224 270160 272415 274560 276300 279400 281600 287352 290576 292608 292864 294720 297180 299325 299520 303930 304800 307200 311912 314325 314368 316800 316992 319280 324192 325120 326898 329472 330200 332800 335280 337700 337920 343200 350901 351208 353664 357632 359190 363220 365760 366080 368400 371475 374400 383136 389890 390144 392960 395109 396240 399100 399360 402336 405240 405504 406400 411840 419100 422400 422656 428879 432256 435864 439010 439296 442080 447040 454025 457200 457600 460800 467868 471552 475488 478920 479232 486288 487680 491200 495300 499200 502920 506550 506857 506880 510848 514800 520192 526812 528320 536448 540320 544830 549120 552600 558800 563200 574704 581152 584835 585216 585728 589440 594360 598650 599040 607860 609600 623824 628650 628736 633600 633984 638560 648384 650240 653796 658515 658944 660400 665600 670560 675400 675840 686400 701802 702416 707328 715264 718380 726440 731520 732160 736800 742950 748800 759825 766272 779780 780288 785920 790218 792480 798200 798720 804672 810480 812800 817245 823680 838200 844800 845312 857758 864512 871728 878020 878592 884160 894080 897975 908050 914400 915200 921600 935736 943104 950976 957840 972576 974725 975360 982400 990600 998400 1005840 1013100 1013714 1013760 1021696 1029600 1053624 1056640 1072896 1080640 1089660 1097525 1098240 1105200 1117600 1126400 1149408 1162304 1169670 1170432 1178880 1188720 1197300 1198080 1215720 1219200 1247648 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44603416 44915328 44954624 45617130 45976320 46492160 46786800 47155200 47548800 48628800 48658272 49041408 49905920 50178843 50573952 50685700 50718720 51084800 51465480 51499008 51870720 52303680 52681200 53644800 54896512 55754270 55790592 56144160 56193280 56586240 57470400 58115200 58521600 59887104 60822840 60862464 61301760 61758576 62244864 62382400 63217440 63398400 64331850 64373760 64838400 64877696 65379600 65894400 66905124 67431936 68620640 69160960 69738240 70180200 70241600 70732800 71526400 72987408 73562112 74387456 74858880 76028550 76078080 76627200 77198220 77806080 79021800 79849472 80467200 81097120 81735680 82344768 83631405 83685888 84289920 84531200 85775800 85831680 86451200 87172800 89206832 89830656 89909248 91234260 91952640 92984320 93573600 94310400 95097600 96497775 97257600 97316544 99811840 100357686 101147904 101371400 101437440 102169600 102930960 103741440 104607360 105362400 107289600 109793024 111508540 111581184 112288320 112386560 114042825 114940800 116230400 117043200 119774208 121645680 122603520 123517152 124489728 124764800 126434880 126796800 128663700 128747520 129676800 129755392 130759200 131788800 133810248 134863872 137241280 139385675 139476480 140360400 140483200 141465600 143052800 145974816 147124224 149717760 152057100 152156160 153254400 154396440 155612160 158043600 159698944 160934400 162194240 164689536 167262810 167371776 168579840 169062400 171551600 172902400 174345600 178413664 179661312 179818496 182468520 183905280 185968640 187147200 190195200 192995550 194515200 194633088 199623680 200715372 202295808 202742800 204339200 205861920 207482880 209214720 210724800 214579200 219586048 223017080 223162368 224576640 224773120 228085650 229881600 232460800 239548416 243291360 245207040 247034304 249529600 250894215 252869760 253593600 257327400 257495040 259353600 259510784 261518400 267620496 269727744 274482560 278771350 278952960 280720800 280966400 282931200 291949632 299435520 304114200 304312320 306508800 308792880 311224320 316087200 321868800 324388480 329379072 334525620 334743552 337159680 343103200 345804800 348691200 356827328 359322624 364937040 367810560 371937280 374294400 380390400 385991100 389030400 389266176 399247360 401430744 404591616 405485600 408678400 411723840 418157025 418429440 421449600 429158400 439172096 446034160 449153280 449546240 456171300 459763200 464921600 479096832 486582720 494068608 499059200 501788430 505739520 507187200 514654800 518707200 519021568 523036800 535240992 539455488 548965120 557542700 557905920 561441600 561932800 583899264 598871040 608228400 613017600 617585760 622448640 632174400 643737600 648776960 658758144 669051240 669487104 674319360 686206400 697382400 713654656 718645248 729874080 735621120 748588800 760780800 771982200 778060800 778532352 798494720 802861488 809183232 810971200 823447680 836314050 836858880 842899200 878344192 892068320 898306560 899092480 912342600 919526400 929843200 973165440 988137216 998118400 1003576860 1011479040 1029309600 1037414400 1038043136 1046073600 1070481984 1097930240 1115085400 1115811840 1122883200 1123865600 1167798528 1197742080 1216456800 1226035200 1235171520 1254471075 1264348800 1287475200 1297553920 1317516288 1338102480 1348638720 1372412800 1394764800 1427309312 1437290496 1459748160 1497177600 1521561600 1543964400 1556121600 1557064704 1605722976 1618366464 1621942400 1646895360 1672628100 1673717760 1685798400 1756688384 1784136640 1796613120 1824685200 1839052800 1859686400 1946330880 1976274432 1996236800 2007153720 2022958080 2058619200 2076086272 2092147200 2140963968 2195860480 2230170800 2245766400 2247731200 2335597056 2395484160 2432913600 2470343040 2508942150 2528697600 2595107840 2635032576 2676204960 2697277440 2744825600 2789529600 2854618624 2919496320 2994355200 3087928800 3112243200 3114129408 3211445952 3243884800 3293790720 3345256200 3347435520 3371596800 3568273280 3593226240 3649370400 3678105600 3892661760 3952548864 3992473600 4014307440 4045916160 4117238400 4184294400 4281927936 4391720960 4460341600 4491532800 4495462400 4671194112 4865827200 4940686080 5017884300 5057395200 5190215680 5270065152 5352409920 5489651200 5579059200 5709237248 5838992640 5988710400 6175857600 6228258816 6422891904 6487769600 6587581440 6690512400 6743193600 7136546560 7186452480 7298740800 7785323520 7905097728 8028614880 8091832320 8234476800 8368588800 8563855872 8783441920 8920683200 8983065600 9342388224 9731654400 9881372160 10035768600 10114790400 10380431360 10704819840 10979302400 11418474496 11677985280 11977420800 12351715200 12845783808 12975539200 13175162880 13381024800 13486387200 14273093120 14597481600 15570647040 15810195456 16057229760 16468953600 16737177600 17127711744 17841366400 17966131200 18684776448 19463308800 19762744320 20071537200 20229580800 21409639680 21958604800 22836948992 23355970560 24703430400 25691567616 25951078400 26350325760 26762049600 28546186240 29194963200 31141294080 32114459520 32937907200 34255423488 35682732800 35932262400 38926617600 39525488640 40143074400 40459161600 42819279360 43917209600 46711941120 49406860800 51383135232 51902156800 53524099200 57092372480 58389926400 64228919040 65875814400 68510846976 71365465600 77853235200 79050977280 80286148800 85638558720 93423882240 98813721600 102766270464 107048198400 114184744960 116779852800 128457838080 131751628800 142730931200 155706470400 160572297600 171277117440 197627443200 205532540928 214096396800 233559705600 256915676160 285461862400 321144595200 342554234880 395254886400 428192793600 467119411200 513831352320 570923724800 642289190400 856385587200 1027662704640 1284578380800 1712771174400 2569156761600 5138313523200
- Sum of all divisors σ(n): 21863110004736
- Sum of proper divisors (its aliquot sum) s(n): 16724796481536
- 5138313523200 is an abundant number, because the sum of its proper divisors (16724796481536) is greater than itself. Its abundance is 11586482958336
Bases of 5138313523200
- Binary: 10010101100010110110101101000110000000000002
- Hexadecimal: 0x4AC5B5A3000
- Base-36: 1TKIB7CW0
Squares and roots of 5138313523200
- 5138313523200 squared (51383135232002) is 26402265862699996938240000
- 5138313523200 cubed (51383135232003) is 135663119725433108732357187207168000000
-
The
square root of 5138313523200 is 2266784.8427232789 -
The
cube root of 5138313523200 is 17256.0026978175
Scales and comparisons
How big is 5138313523200?- 5,138,313,523,200 seconds is equal to 163,382 years, 24 weeks, 5 days, 8 hours.
-
To count from 1 to 5,138,313,523,200 would take you about four hundred eight thousand, four hundred fifty-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 5138313523200 cubic inches would be around 1438 feet tall.
Recreational maths with 5138313523200
- 5138313523200 backwards is 0023253138315
- 5138313523200 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 5138313523200's digits is 36
- More coming soon!
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"Number 5138313523200 - Facts about the integer". Numbermatics.com. 2024. Web. 26 June 2024.
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Numbermatics. (2024). Number 5138313523200 - Facts about the integer. Retrieved 26 June 2024, from https://numbermatics.com/n/5138313523200/
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The information we have on file for 5138313523200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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